Information on Result #614481
Linear OA(791, 16808, F7, 21) (dual of [16808, 16717, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7105, 16838, F7, 21) (dual of [16838, 16733, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(7107, 16857, F7, 21) (dual of [16857, 16750, 22]-code) | [i] | ||
| 3 | Linear OOA(791, 13298, F7, 2, 21) (dual of [(13298, 2), 26505, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(791, 13298, F7, 3, 21) (dual of [(13298, 3), 39803, 22]-NRT-code) | [i] | ||
| 5 | Digital (70, 91, 13298)-net over F7 | [i] | ||
| 6 | Linear OA(7101, 16819, F7, 21) (dual of [16819, 16718, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(7102, 16819, F7, 23) (dual of [16819, 16717, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(792, 16819, F7, 21) (dual of [16819, 16727, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(795, 16832, F7, 21) (dual of [16832, 16737, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(798, 16845, F7, 21) (dual of [16845, 16747, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(7105, 16857, F7, 21) (dual of [16857, 16752, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(7105, 16858, F7, 21) (dual of [16858, 16753, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(792, 16830, F7, 19) (dual of [16830, 16738, 20]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |